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Finding the Third Proportional to 847,212.75 and 1,832,085

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Solution

The third proportional to 847,212.75 and 1,832,085 is: 3,961,856.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,212.75 : 1,832,085 = 1,832,085 : x
  2. Step 2: Convert to fraction form
    847,212.75/1,832,085 = 1,832,085/x
  3. Step 3: Cross multiply
    847,212.75x = 1,832,085 × 1,832,085
  4. Step 4: Simplify right side
    847,212.75x = 3,356,535,447,225
  5. Step 5: Solve for x
    x = 3,356,535,447,225/847,212.75
  6. Step 6: Final answer
    x = 3,961,856.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.